The Resource Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)

Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)

Label
Mathematics of Multiscale Materials
Title
Mathematics of Multiscale Materials
Statement of responsibility
edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
Polycrystalline metals, porous rocks, colloidal suspensions, epitaxial thin films, gels, foams, granular aggregates, sea ice, shape-memory metals, magnetic materials, and electro-rheological fluids are all examples of materials where an understanding of the mathematics on the different length scales is a key to interpreting their physical behavior. In their analysis of these media, scientists coming from a number of disciplines have encountered similar mathematical problems, yet it is rare for researchers in the various fields to meet. The 1995-1996 program at the Institute for Mathematics and its Applications was devoted to Mathematical Methods in Material Science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. The present volume contains chapters which have emerged from four of the workshops held during the year, focusing on the following areas: Disordered Materials; Interfaces and Thin Films; Mechanical Response of Materials from Angstroms to Meters; and Phase Transformation, Composite Materials and Microstructure. The scales treated in these workshops ranged from the atomic to the microstructural to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to the highly applied. Taken together, these works form a compelling and broad account of many aspects of the science of multiscale materials, and will hopefully inspire research across the self-imposed barriers of twentieth century science
Member of
Dewey number
006.3
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • z2GQ3xec6qs
  • hLK-4_SoUoA
  • loWXBzimvdw
  • byUnPdX2sMI
  • wFUPdGH0ucA
Image bit depth
0
Language note
English
LC call number
Q342
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Golden, Kenneth M.
  • Grimmett, Geoffrey R.
  • James, Richard D.
  • Milton, Graeme W.
  • Sen, Pabitra N.
Series statement
The IMA Volumes in Mathematics and its Applications,
Series volume
99
http://library.link/vocab/subjectName
  • Engineering
  • Chemistry
  • Statistics
  • Computational Intelligence
  • Math. Applications in Chemistry
  • Statistics, general
Label
Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)
Instantiates
Publication
Note
"With 75 illustrations."
Antecedent source
mixed
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Scaling limit for the incipient spanning clusters -- Bounded and unbounded level lines in two-dimensional random fields -- Transversely isotropic poroelasticity arising from thin isotropic layers -- Bounds on the effective elastic properties of martensitic polycrystals -- Statistical models for fracture -- Normal and anomalous diffusions in random flows -- Calculating the mechanical properties of materials from interatomic forces -- Granular media: some new results -- Elastic freedom in cellular solids and composite materials -- Weakly nonlinear conductivity and flicker noise near percolation -- Fine properties of solutions to conductivity equations with applications to composites -- Composite sensors and actuators -- Bounding the effective yield behavior of mixtures -- Upper bounds on electrorheological properties -- On spatiotemporal patterns in composite reactive media -- Equilibrium shapes of islands in epitaxially strained solid films -- Numerical simulation of the effective elastic properties of a class of cell materials
Dimensions
unknown
Edition
1st ed. 1998.
Extent
1 online resource (X, 287 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461217282
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-1728-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089675
  • (SSID)ssj0001297600
  • (PQKBManifestationID)11861118
  • (PQKBTitleCode)TC0001297600
  • (PQKBWorkID)11229112
  • (PQKB)11699549
  • (DE-He213)978-1-4612-1728-2
  • (MiAaPQ)EBC3076822
  • (EXLCZ)993400000000089675
Label
Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)
Publication
Note
"With 75 illustrations."
Antecedent source
mixed
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Scaling limit for the incipient spanning clusters -- Bounded and unbounded level lines in two-dimensional random fields -- Transversely isotropic poroelasticity arising from thin isotropic layers -- Bounds on the effective elastic properties of martensitic polycrystals -- Statistical models for fracture -- Normal and anomalous diffusions in random flows -- Calculating the mechanical properties of materials from interatomic forces -- Granular media: some new results -- Elastic freedom in cellular solids and composite materials -- Weakly nonlinear conductivity and flicker noise near percolation -- Fine properties of solutions to conductivity equations with applications to composites -- Composite sensors and actuators -- Bounding the effective yield behavior of mixtures -- Upper bounds on electrorheological properties -- On spatiotemporal patterns in composite reactive media -- Equilibrium shapes of islands in epitaxially strained solid films -- Numerical simulation of the effective elastic properties of a class of cell materials
Dimensions
unknown
Edition
1st ed. 1998.
Extent
1 online resource (X, 287 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461217282
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-1728-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089675
  • (SSID)ssj0001297600
  • (PQKBManifestationID)11861118
  • (PQKBTitleCode)TC0001297600
  • (PQKBWorkID)11229112
  • (PQKB)11699549
  • (DE-He213)978-1-4612-1728-2
  • (MiAaPQ)EBC3076822
  • (EXLCZ)993400000000089675

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